Search a number
-
+
131313020 = 22510936007
BaseRepresentation
bin1111101001110…
…10110101111100
3100011002101121012
413310322311330
5232104004040
621010254352
73153066536
oct764726574
9304071535
10131313020
1168139463
1237b873b8
1321288317
1413622856
15b7dc865
hex7d3ad7c

131313020 has 24 divisors (see below), whose sum is σ = 276055584. Its totient is φ = 52468416.

The previous prime is 131313001. The next prime is 131313031. The reversal of 131313020 is 20313131.

It is a junction number, because it is equal to n+sod(n) for n = 131312986 and 131313004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18857 + ... + 24863.

It is an arithmetic number, because the mean of its divisors is an integer number (11502316).

Almost surely, 2131313020 is an apocalyptic number.

131313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313020 is an abundant number, since it is smaller than the sum of its proper divisors (144742564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131313020 is a wasteful number, since it uses less digits than its factorization.

131313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131313020 is about 11459.1893256024. The cubic root of 131313020 is about 508.2795029145.

Adding to 131313020 its reverse (20313131), we get a palindrome (151626151).

The spelling of 131313020 in words is "one hundred thirty-one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 1093 2186 4372 5465 6007 10930 12014 21860 24028 30035 60070 120140 6565651 13131302 26262604 32828255 65656510 131313020